2211390720 has 720 divisors, whose sum is σ = 9900874368. Its totient is φ = 457850880.

The previous prime is 2211390667. The next prime is 2211390733. The reversal of 2211390720 is 270931122.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7983222 + ... + 7983498.

Almost surely, 2^2211390720 is an apocalyptic number.

2211390720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950437184).

2211390720 is an abundant number, since it is smaller than the sum of its proper divisors (7689483648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2211390720 is a wasteful number, since it uses less digits than its factorization.

2211390720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2211390720 is about 47025.4263138571. The cubic root of 2211390720 is about 1302.8322314192.

The spelling of 2211390720 in words is "two billion, two hundred eleven million, three hundred ninety thousand, seven hundred twenty".